%%% general text books

@book{Cover2006,
    address = {New York},
    author = {Cover, Thomas M. and Thomas, Joy A.},
    edition = {Second},
    isbn = {0471241954},
    pages = {776},
    publisher = {Wiley-Interscience},
    title = {{Elements of Information Theory}},
    year = {2006}
}

@book{MacKay2003,
    title={Information theory, inference and learning algorithms},
    author={MacKay, David JC},
    year={2003},
    publisher={Cambridge university press}
}

@book{Yeung2008,
    title={Information theory and network coding},
    author={Yeung, Raymond W},
    year={2008},
    publisher={Springer}
}

@book{Calude2002,
    author = {Calude, Cristian},
    title = {Information and Randomness: An Algorithmic Perspective},
    year = {2002},
    isbn = {3540434666},
    edition = {2nd},
    publisher = {Springer-Verlag New York, Inc.},
    address = {Secaucus, NJ, USA},
}


%%% multivariate information measures

%% mutual informations

% co-information
@inproceedings{Bell2003,
  author = "A. J. Bell",
  title = "The Co-information Lattice",
  booktitle = "Proc. Fifth Intl. Workshop on Independent Component Analysis and Blind Signal Separation",
  editor = "S.  Amari, A. Cichocki, S. Makino and N. Murata",
  publisher = "Springer",
  address = "New York",
  volume = "ICA 2003",
  optnumber = "",
  pages = "921--926",
  year = "2003"
}

% interaction information
@article{mcgill1954multivariate,
  title={Multivariate information transmission},
  author={McGill, W. J.},
  journal={Psychometrika},
  volume={19},
  number={2},
  pages={97--116},
  year={1954},
  publisher={Springer}
}

% total correlation
@article{watanabe1960information,
  title={Information theoretical analysis of multivariate correlation},
  author={Watanabe, S.},
  journal={IBM Journal of research and development},
  volume={4},
  number={1},
  pages={66--82},
  year={1960},
  publisher={IBM}
}

% dual total correlation
@article{te1980multiple,
  title={Multiple mutual informations and multiple interactions in frequency data},
  author={Te Sun, H.},
  journal={Information and Control},
  volume={46},
  pages={26--45},
  year={1980},
  publisher={Elsevier}
}

@article{Han1975linear,
  title={Linear dependence structure of the entropy space},
  author={Han, T. S.},
  journal={Information and Control},
  volume={29},
  pages={337--368},
  year={1975},
  publisher={Elsevier}
}

@article{Abdallah2012,
  title={A measure of statistical complexity based on predictive information with application to finite spin systems},
  author={Abdallah, S. A. and Plumbley, M. D.},
  journal={Physics Letters A},
  volume={376},
  number={4},
  pages={275--281},
  year={2012},
  publisher={Elsevier}
}

% erasure entropy
@inproceedings{verdu2006erasure,
  title={Erasure entropy},
  author={Verd{\'u}, S. and Weissman, T.},
  booktitle={Information Theory, 2006 IEEE International Symposium on},
  pages={98--102},
  year={2006},
  organization={IEEE}
}

@article{Verdu2008,
  title={The information lost in erasures},
  author={Verdu, Sergio and Weissman, Tsachy},
  journal={Information Theory, IEEE Transactions on},
  volume={54},
  number={11},
  pages={5030--5058},
  year={2008},
  publisher={IEEE}
}

% CAEKL mutual information
@article{chan2015multivariate,
  title={Multivariate Mutual Information Inspired by Secret-Key Agreement},
  author={Chan, Chung and Al-Bashabsheh, Ali and Ebrahimi, Javad B and Kaced, Tarik and Liu, Tie},
  journal={Proceedings of the IEEE},
  volume={103},
  number={10},
  pages={1883--1913},
  year={2015},
  publisher={IEEE}
}

%% common informations

% Gács-Körner common information
@article{Gacs1973,
    title={Common information is far less than mutual information},
    author={G{\'a}cs, Peter and K{\"o}rner, J{\'a}nos},
    journal={Problems of Control and Information Theory},
    volume={2},
    number={2},
    pages={149--162},
    year={1973}
}

% multivariate Gács-Körner common information
@article{tyagi2011function,
  title={When is a function securely computable?},
  author={Tyagi, H. and Narayan, P. and Gupta, P.},
  journal={Information Theory, IEEE Transactions on},
  volume={57},
  number={10},
  pages={6337--6350},
  year={2011},
  publisher={IEEE}
}

% wyner common information
@article{wyner1975common,
  title={The common information of two dependent random variables},
  author={Wyner, A. D.},
  journal={Information Theory, IEEE Transactions on},
  volume={21},
  number={2},
  pages={163--179},
  year={1975},
  publisher={IEEE}
}

% multivariate wyner common information
@inproceedings{liu2010common,
  title={The common information of N dependent random variables},
  author={Liu, Wei and Xu, Ge and Chen, Biao},
  booktitle={Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on},
  pages={836--843},
  year={2010},
  organization={IEEE}
}

% exact common information
@inproceedings{kumar2014exact,
  title={Exact common information},
  author={Kumar, G. R. and Li, C. T. and El Gamal, A.},
  booktitle={Information Theory (ISIT), 2014 IEEE International Symposium on},
  pages={161--165},
  year={2014},
  organization={IEEE}
}

% functional common information

% MSS common information

%%% others

% extropy
@article{Lad2011,
    title={Extropy: a complementary dual of entropy},
    author={Lad, Frank and Sanfilippo, Giuseppe and Agr{\`o}, Gianna},
    journal={arXiv preprint arXiv:1109.6440},
    year={2011}
}

% TSE complexity
@article{Tononi1994,
    title={A measure for brain complexity: relating functional segregation and integration in the nervous system},
    author={Tononi, Giulio and Sporns, Olaf and Edelman, Gerald M},
    journal={Proceedings of the National Academy of Sciences},
    volume={91},
    number={11},
    pages={5033--5037},
    year={1994},
    publisher={National Acad Sciences}
}

% cumulative residual entropy
@article{Rao2004,
    title={Cumulative residual entropy: a new measure of information},
    author={Rao, Murali and Chen, Yunmei and Vemuri, Baba C and Wang, Fei},
    journal={Information Theory, IEEE Transactions on},
    volume={50},
    number={6},
    pages={1220--1228},
    year={2004},
    publisher={IEEE}
}

% marginal utility of information
@article{Allen2014,
  title={An information-theoretic formalism for multiscale structure in complex systems},
  author={Allen, B. and Stacey, B. C. and Bar-Yam, Y.},
  journal={arXiv preprint arXiv:1409.4708},
  year={2014}
}

% complexity profile
@article{Baryam2004,
  title={Multiscale complexity/entropy},
  author={Bar-Yam, Y.},
  journal={Advances in Complex Systems},
  volume={7},
  number={01},
  pages={47--63},
  year={2004},
  publisher={World Scientific}
}

@article{Amari2001,
  title={Information geometry on hierarchy of probability distributions},
  author={Amari, Shun-ichi},
  journal={Information Theory, IEEE Transactions on},
  volume={47},
  number={5},
  pages={1701--1711},
  year={2001},
  publisher={IEEE}
}

% connected information
@article{Schneidman2003,
  title={Network information and connected correlations},
  author={Schneidman, E. and Still, S. and Berry, M. J. and Bialek, W. and others},
  journal={Phys. Rev. Lett.},
  volume={91},
  number={23},
  pages={238701},
  year={2003},
  publisher={APS}
}

% disequilibrium, lmpr complexity
@article{Lamberti2004,
  title={Intensive entropic non-triviality measure},
  author={Lamberti, P. W. and Martin, M. T. and Plastino, A. and Rosso, O. A.},
  journal={Physica A: Statistical Mechanics and its Applications},
  volume={334},
  number={1},
  pages={119--131},
  year={2004},
  publisher={Elsevier}
}

% entropy triangle
@incollection{valverde2016multivariate,
  title={The Multivariate Entropy Triangle and Applications},
  author={Valverde-Albacete, Francisco Jos{\'e} and Pel{\'a}ez-Moreno, Carmen},
  booktitle={Hybrid Artificial Intelligent Systems},
  pages={647--658},
  year={2016},
  publisher={Springer}
}

% necessary conditional entropy
@article{cuff2010coordination,
  title={Coordination capacity},
  author={Cuff, Paul Warner and Permuter, Haim H and Cover, Thomas M},
  journal={IEEE Transactions on Information Theory},
  volume={56},
  number={9},
  pages={4181--4206},
  year={2010},
  publisher={IEEE}
}

% lautum information
@article{palomar2008lautum,
  title={Lautum information},
  author={Palomar, Daniel P and Verd{\'u}, Sergio},
  journal={IEEE transactions on information theory},
  volume={54},
  number={3},
  pages={964--975},
  year={2008},
  publisher={IEEE}
}

% hypercontractivity coefficient
@article{beigi2016phi,
  title={Phi-Entropic Measures of Correlation},
  author={Beigi, Salman and Gohari, Amin},
  journal={arXiv preprint arXiv:1611.01335},
  year={2016}
}

%%% Secret Key Agreement

% intrinsic mutual information
@inproceedings{maurer1997intrinsic,
  title={The intrinsic conditional mutual information and perfect secrecy},
  author={Maurer, Ueli and Wolf, Stefan},
  booktitle={IEEE international symposium on information theory},
  pages={88--88},
  year={1997},
  organization={Citeseer}
}

@inproceedings{christandl2003property,
  title={A property of the intrinsic mutual information},
  author={Christandl, Matthias and Renner, Renato and Wolf, Stefan},
  booktitle={IEEE international symposium on information theory},
  pages={258--258},
  year={2003}
}

% reduced intrinsic mutual information
@inproceedings{renner2003new,
  title={A new measure for conditional mutual information and its properties},
  author={Renner, Renato and Skripsky, Juraj and Wolf, Stefan},
  booktitle={IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY},
  pages={259--259},
  year={2003}
}

% minimal intrinsic mutual information
@article{gohari2017comments,
  title={Comments On “Information-Theoretic Key Agreement of Multiple Terminals—Part I”},
  author={Gohari, Amin and Anantharam, Venkat},
  journal={IEEE Transactions on Information Theory},
  volume={63},
  number={8},
  pages={5440--5442},
  year={2017},
  publisher={IEEE}
}

% necessary intrinsic mutual information
@article{gohari2017achieving,
  title={On Achieving a Positive Rate in the Source Model Key Agreement Problem},
  author={Gohari, Amin and G{\"u}nl{\"u}, Onur and Kramer, Gerhard},
  journal={arXiv preprint arXiv:1709.05174},
  year={2017}
}

%%% Other

% information bottleneck
@article{tishby2000information,
  title={The information bottleneck method},
  author={Tishby, Naftali and Pereira, Fernando C and Bialek, William},
  journal={arXiv preprint physics/0004057},
  year={2000}
}

% i_copy
@article{kolchinsky2019decomposing,
  title={Decomposing information into copying versus transformation},
  author={Kolchinsky, Artemy and Corominas-Murtra, Bernat},
  journal={arXiv preprint arXiv:1903.10693},
  year={2019}
}

%%% Partial Information Decomposition

%% measures

% i_min
@article{williams2010nonnegative,
  title={Nonnegative decomposition of multivariate information},
  author={Williams, Paul L and Beer, Randall D},
  journal={arXiv preprint arXiv:1004.2515},
  year={2010}
}

% i_proj
@article{harder2013bivariate,
  title={Bivariate measure of redundant information},
  author={Harder, Malte and Salge, Christoph and Polani, Daniel},
  journal={Physical Review E},
  volume={87},
  number={1},
  pages={012130},
  year={2013},
  publisher={APS}
}

% i_broja
@article{bertschinger2014quantifying,
  title={Quantifying unique information},
  author={Bertschinger, Nils and Rauh, Johannes and Olbrich, Eckehard and Jost, J{\"u}rgen and Ay, Nihat},
  journal={Entropy},
  volume={16},
  number={4},
  pages={2161--2183},
  year={2014},
  publisher={Multidisciplinary Digital Publishing Institute}
}

@incollection{griffith2014quantifying,
  title={Quantifying synergistic mutual information},
  author={Griffith, Virgil and Koch, Christof},
  booktitle={Guided Self-Organization: Inception},
  pages={159--190},
  year={2014},
  publisher={Springer}
}

@article{banerjee2017computing,
  title={Computing the Unique Information},
  author={Banerjee, Pradeep Kr. and Rauh, Johannes and Mont{\'u}far, Guido},
  journal={arXive preprint arXiv:1709.07487},
  year={2017}
}

% i_wedge
@article{griffith2014intersection,
  title={Intersection information based on common randomness},
  author={Griffith, Virgil and Chong, Edwin KP and James, Ryan G and Ellison, Christopher J and Crutchfield, James P},
  journal={Entropy},
  volume={16},
  number={4},
  pages={1985--2000},
  year={2014},
  publisher={Multidisciplinary Digital Publishing Institute}
}

% i_ccs
@article{ince2017measuring,
  title={Measuring multivariate redundant information with pointwise common change in surprisal},
  author={Ince, Robin A. A.},
  journal={Entropy},
  volume={19},
  number={7},
  pages={318},
  year={2017},
  publisher={Multidisciplinary Digital Publishing Institute}
}

% i_dep
@article{james2017unique,
  title={Unique Information via Dependency Constraints},
  author={James, Ryan G. and Emenheiser, Jeffrey and Crutchfield, James P.},
  journal={arXiv preprint arXiv:1709.06653},
  year={2017}
}

% i_pm
@article{finn2018pointwise,
  title={Pointwise partial information decomposition using the specificity and ambiguity lattices},
  author={Finn, C. and Lizier, J. T.},
  journal={Entropy},
  volume={20},
  number={4},
  pages={297},
  year={2018},
  publisher={Multidisciplinary Digital Publishing Institute}
}

% i_rr
@article{goodwell2017temporal,
  title={Temporal information partitioning: Characterizing synergy, uniqueness, and redundancy in interacting environmental variables},
  author={Goodwell, Allison E and Kumar, Praveen},
  journal={Water Resources Research},
  volume={53},
  number={7},
  pages={5920--5942},
  year={2017},
  publisher={Wiley Online Library}
}

% i_RA
@article{zwick2004overview,
  title={An overview of reconstructability analysis},
  author={Zwick, M.},
  journal={Kybernetes},
  volume={33},
  number={5/6},
  pages={877--905},
  year={2004},
  publisher={Emerald Group Publishing Limited}
}

% PED and h_cs
@article{ince2017partial,
  title={The {P}artial {E}ntropy {D}ecompostion: decomposing multivariate entropy and mutual information via pointwise common surprisal},
  author={Ince, Robin A. A.},
  journal={arXive preprint arXiv:1702.01591},
  year={2017}
}

%% supporting

@inproceedings{bertschinger2013shared,
  title={Shared information—new insights and problems in decomposing information in complex systems},
  author={Bertschinger, Nils and Rauh, Johannes and Olbrich, Eckehard and Jost, J{\"u}rgen},
  booktitle={Proceedings of the European Conference on Complex Systems 2012},
  pages={251--269},
  year={2013},
  organization={Springer}
}

@article{rauh2017extractable,
  title={On extractable shared information},
  author={Rauh, Johannes and Banerjee, Pradeep Kr and Olbrich, Eckehard and Jost, J{\"u}rgen and Bertschinger, Nils},
  journal={arXiv preprint arXiv:1701.07805},
  year={2017}
}

@inproceedings{rauh2014reconsidering,
  title={Reconsidering unique information: Towards a multivariate information decomposition},
  author={Rauh, Johannes and Bertschinger, Nils and Olbrich, Eckehard and Jost, Jurgen},
  booktitle={Information Theory (ISIT), 2014 IEEE International Symposium on},
  pages={2232--2236},
  year={2014},
  organization={IEEE}
}

@article{chicharro2016redundancy,
  title={Redundancy and synergy in dual decompositions of mutual information gain and information loss},
  author={Chicharro, Daniel and Panzeri, Stefano},
  journal={arXiv preprint arXiv:1612.09522},
  year={2016}
}

@article{rauh2017secret,
  title={Secret Sharing and Shared Information},
  author={Rauh, Johannes},
  journal={arXiv preprint arXiv:1706.06998},
  year={2017}
}

@article{banerjee2015synergy,
  title={Synergy, redundancy and common information},
  author={Banerjee, Pradeep Kr and Griffith, Virgil},
  journal={arXiv preprint arXiv:1509.03706},
  year={2015}
}

@article{olbrich2015information,
  title={Information decomposition and synergy},
  author={Olbrich, Eckehard and Bertschinger, Nils and Rauh, Johannes},
  journal={Entropy},
  volume={17},
  number={5},
  pages={3501--3517},
  year={2015},
  publisher={Multidisciplinary Digital Publishing Institute}
}

@inproceedings{lizier2013towards,
  title={Towards a synergy-based approach to measuring information modification},
  author={Lizier, Joseph T and Flecker, Benjamin and Williams, Paul L},
  booktitle={Artificial Life (ALIFE), 2013 IEEE Symposium on},
  pages={43--51},
  year={2013},
  organization={IEEE}
}

@article{williams2011generalized,
  title={Generalized measures of information transfer},
  author={Williams, Paul L and Beer, Randall D},
  journal={arXiv preprint arXiv:1102.1507},
  year={2011}
}

%% PED types

@article{krippendorff2009ross,
  title={Ross Ashby's information theory: a bit of history, some solutions to problems, and what we face today},
  author={Krippendorff, Klaus},
  journal={International Journal of General Systems},
  volume={38},
  number={2},
  pages={189--212},
  year={2009},
  publisher={Taylor \& Francis}
}

@article{rosas2016understanding,
  title={Understanding interdependency through complex information sharing},
  author={Rosas, Fernando and Ntranos, Vasilis and Ellison, Christopher J and Pollin, Sofie and Verhelst, Marian},
  journal={Entropy},
  volume={18},
  number={2},
  pages={38},
  year={2016},
  publisher={Multidisciplinary Digital Publishing Institute}
}

@article{pica2017invariant,
  title={Invariant components of synergy, redundancy, and unique information among three variables},
  author={Pica, Giuseppe and Piasini, Eugenio and Chicharro, Daniel and Panzeri, Stefano},
  journal={arXiv preprint arXiv:1706.08921},
  year={2017}
}

@article{frey2016information,
  title={Information encryption in the expert management of strategic uncertainty},
  author={Frey, Seth and Williams, Paul L and Albino, Dominic K},
  journal={arXiv preprint arXiv:1605.04233},
  year={2016}
}
